The connector which attaches the display to the logic board is protected underneath a screwed-down metal plate. It's highly unlikely it came loose, meaning that odds are the LCD itself is indeed damaged.
The LCD isn't easy to replace. It's easier than the digitiser (the touch-sensitive glass covering the LCD), but you still need to lift that digitiser from the frame of the iPad without cracking it (by using a heat source such as a hair dryer to melt the glue holding it in place - then carefully prising it out), bearing in mind that it's very thin and very very difficult to remove intact.
Once that's out of the way, the LCD can be unscrewed and moved aside as well, granting access to the aforementioned metal plate. When that's removed, the LCD connector simply clicks out, and you can then start re-assembly.
The battery connector is also under that plate. It is essential that you detach the battery before the LCD, and only re-attach an LCD if the battery is not already connected. Failure to do so will very likely blow a certain micro-fuse on the iPad's logic board, which is no fun to fix at all - the device won't work with any LCD if that bit's busted.
Getting the glass to sit flatly back into place is easier said than done. If you allow any contaminants (eg dust) to settle into the glue, it's harder still. The replacement glue strips commonly for sale online (3M) tend to be utter rubbish compared to the original stuff, so you'll want to preserve it if you can.
You will of course want to hunt down some videos stepping you through the exact process, but the above should give you some idea as to the level of skill required to fix it yourself.